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22055000 = 235411401
BaseRepresentation
bin101010000100…
…0100001011000
31112111111202212
41110020201120
521121230000
62104414252
7355315202
oct124104130
945444685
1022055000
11114a4280
127477388
1347528c6
142d01772
151e09c35
hex1508858

22055000 has 80 divisors (see below), whose sum is σ = 56513160. Its totient is φ = 8000000.

The previous prime is 22054957. The next prime is 22055003. The reversal of 22055000 is 55022.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54800 + ... + 55200.

Almost surely, 222055000 is an apocalyptic number.

22055000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28256580).

22055000 is an abundant number, since it is smaller than the sum of its proper divisors (34458160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22055000 is a wasteful number, since it uses less digits than its factorization.

22055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 22055000 is about 4696.2751197092. The cubic root of 22055000 is about 280.4372420268.

The spelling of 22055000 in words is "twenty-two million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 401 440 500 550 625 802 1000 1100 1250 1375 1604 2005 2200 2500 2750 3208 4010 4411 5000 5500 6875 8020 8822 10025 11000 13750 16040 17644 20050 22055 27500 35288 40100 44110 50125 55000 80200 88220 100250 110275 176440 200500 220550 250625 401000 441100 501250 551375 882200 1002500 1102750 2005000 2205500 2756875 4411000 5513750 11027500 22055000